Meromorphic continuation approach to noncommutative geometry
Functional Analysis
2017-08-02 v1 Operator Algebras
Spectral Theory
Abstract
Following an idea of Nigel Higson, we develop a method for proving the existence of a meromor-phic continuation for some spectral zeta functions. The method is based on algebras of generalized differential operators. The main theorem states, under some conditions, the existence of a meromor-phic continuation, a localization of the poles in supports of arithmetic sequences and an upper bound of their order. We give an application in relation with a class of nilpotent Lie algebras.
Cite
@article{arxiv.1611.04894,
title = {Meromorphic continuation approach to noncommutative geometry},
author = {Franck Gautier-Baudhuit},
journal= {arXiv preprint arXiv:1611.04894},
year = {2017}
}